Triple

T22423137
Position Surface form Disambiguated ID Type / Status
Subject Erdős–Ko–Rado theorem E554298 entity
Predicate namedAfter P63 FINISHED
Object Richard Rado
Richard Rado was a German-born British mathematician known for his influential work in combinatorics and partition calculus, including contributions that led to the Erdős–Ko–Rado theorem.
 E1536255 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Richard Rado | Statement: [Erdős–Ko–Rado theorem, namedAfter, Richard Rado]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Richard Rado
Context triple: [Erdős–Ko–Rado theorem, namedAfter, Richard Rado]
  • A. William Zeckendorf
    William Zeckendorf was a prominent mid-20th-century American real estate developer known for large-scale urban projects and pioneering modern commercial and residential complexes.
  • B. Leo Koenig
    Leo Koenig is a New York–based contemporary art dealer and gallerist known for exhibiting emerging and established international artists.
  • C. Walter Gross
    Walter Gross was an American pianist and composer best known for writing the jazz and pop standard "Tenderly."
  • D. Max Loeb
    Max Loeb is a notable individual who shares the Loeb surname and is recognized as a distinguished bearer of that family name.
  • E. Michael Marks
    Michael Marks was a Polish-born British businessman best known as the co-founder of the major retail chain Marks & Spencer.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Richard Rado
Triple: [Erdős–Ko–Rado theorem, namedAfter, Richard Rado]
Generated description
Richard Rado was a German-born British mathematician known for his influential work in combinatorics and partition calculus, including contributions that led to the Erdős–Ko–Rado theorem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Richard Rado
Target entity description: Richard Rado was a German-born British mathematician known for his influential work in combinatorics and partition calculus, including contributions that led to the Erdős–Ko–Rado theorem.
  • A. William Zeckendorf
    William Zeckendorf was a prominent mid-20th-century American real estate developer known for large-scale urban projects and pioneering modern commercial and residential complexes.
  • B. Leo Koenig
    Leo Koenig is a New York–based contemporary art dealer and gallerist known for exhibiting emerging and established international artists.
  • C. Walter Gross
    Walter Gross was an American pianist and composer best known for writing the jazz and pop standard "Tenderly."
  • D. Max Loeb
    Max Loeb is a notable individual who shares the Loeb surname and is recognized as a distinguished bearer of that family name.
  • E. Michael Marks
    Michael Marks was a Polish-born British businessman best known as the co-founder of the major retail chain Marks & Spencer.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69e11e4f2d0c819091aa3558ea2ee630 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15a2af620819083338127e78137dc completed April 29, 2026, 1:08 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0af0f06cec8190a911ab9a867c0596 completed May 18, 2026, 10:58 a.m.
NEDg Description generation batch_6a0af2c6151881908f85a7c3c751cea9 completed May 18, 2026, 11:06 a.m.
NED2 Entity disambiguation (via description) batch_6a0b08e411048190a368214c57c35d5e completed May 18, 2026, 12:41 p.m.
Created at: April 16, 2026, 8:47 p.m.